Note: FAG does not give her parent's names, nor her birth location.
FAG revised Death 16 Nov 1853 (aged 81–82) Elizabeth, Union County, New Jersey
Burial First Presbyterian Churchyard, Elizabeth, Union County, New Jersey, Plot Grave# 451 
First Church Elizabeth NJ Cemetery inscriptions give her death as 16 Nov 1863. 
Will Abstract of: Mary Woodruff of New York, names daughter Phebe W Rawkin, now wife of Andrew Rawkin of Newark, NJ. She names son Archibald Woodruff as executor. Dated 10 Feb 1846. Signed longhand. Wits. Jonas Wood and Samuel Gilman both of NY.
It may be possible to confirm family relationships with Mary by comparing test results with other carriers of her ancestors' mitochondrial DNA.
However, there are no known mtDNA test-takers in her direct maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Mary: